Pith Number

pith:J6VGNA3F

pith:2013:J6VGNA3F2ZBAQEW5WSEAJXZMKV

not attested not anchored not stored refs pending

Relaxation limit in larger Besov spaces for compressible Euler equations

Jiang Xu, Shuichi Kawashima

arxiv:1303.6008 v1 · 2013-03-25 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J6VGNA3F2ZBAQEW5WSEAJXZMKV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:23:35.599821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4faa668365d6420812ddb48804df2c555ccbd880df0a82f93e0e5fd8021f8b80

Aliases

arxiv: 1303.6008 · arxiv_version: 1303.6008v1 · doi: 10.48550/arxiv.1303.6008 · pith_short_12: J6VGNA3F2ZBA · pith_short_16: J6VGNA3F2ZBAQEW5 · pith_short_8: J6VGNA3F

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/J6VGNA3F2ZBAQEW5WSEAJXZMKV \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 4faa668365d6420812ddb48804df2c555ccbd880df0a82f93e0e5fd8021f8b80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ff31cbb79213fd5bb9243abd04d1abfb9b87922eeb5c747f19a5321847127ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-03-25T00:40:45Z",
    "title_canon_sha256": "19c589b152e895bfe057ccdf520658948690b76e1195a615e78190c3945f69a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6008",
    "kind": "arxiv",
    "version": 1
  }
}